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MATH1513 – College Algebra
Section 2.1 – Linear Functions
Homework
(4 pts each) Find the point-slope form and slope-intercept form of the line which passes through the
given points in Exercises 1-3.
1) P(1,3), (4,2)
2) P(-2,1),(7-3)
3) PC3.0(-1,3)
3) f(x) = -2×2 + 8x – 4
3).0(4,2)
(-2, 6-2)
3) f(x) = -2×2
2)/(x) = -(x-2) + 5
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MATH1513 – College Algebra
Section 2.3 – Quadratic Functions
Homework
(17 pts each) For Exercises 1-4, graph the quadratic function. Find the x- and y-intercepts of each graph,
if any exist. If it is given in general form, convert it into standard form; if it is given in standard form,
convert it into general form. Find the domain and range of the function and list the intervals on which
the function is increasing or decreasing. Identify the vertex and the axis of symmetry and determine
whether the vertex yields a relative and absolute maximum or minimum.
1) f(x) = x2 + 4x + 1
5) (10 pts) A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in
feet, can be modeled by
f(x) = -0.8×2 + 2.4x + 6
Where x is the ball’s horizontal distance, in feet, from where it was thrown.
a) What is the maximum height of the ball and how far from where it was thrown does this occur?
b) How far does the ball travel horizontally before hitting the ground? Round to the nearest tenth of
a foot.
c) Graph the function that models the ball’s parabolic path.
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